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RESOLVABILITY IN COMPLEMENT OF THE INTERSECTION GRAPH OF ANNIHILATOR SUBMODULES OF A MODULE
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نویسنده
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pejman s. b. ,payrovi sh. ,babaei s.
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منبع
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journal of algebra and related topics - 2020 - دوره : 8 - شماره : 1 - صفحه:27 -37
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چکیده
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Let r be a commutative ring and m be an r-module.the intersection graph of annihilator submodules of m, denoted byga(m), is a simple undirected graph whose vertices are the classesof elements of z(m) annr(m) and two distinct classes [a] and[b] are adjacent if and only if annm(a) ∩ annm(b)= 0. in thispaper, we study the diameter and girth of ga(m). furthermore,we calculate the domination number, metric dimension , adjacency metric dimension and local metric dimension of ga(m).¯¯¯¯¯¯¯¯¯.¯¯¯¯¯¯¯¯¯¯.
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کلیدواژه
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Prime submodule ,Annihilator submodule ,Intersection graph.
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آدرس
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imam khomeini international university, department of mathematics, Iran, imam khomeini international university, department of mathematics, iran, imam khomeini international university, department of mathematics, iran
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Authors
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